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Simplifying 6(2x + 1) = 5x + -7x Reorder the terms: 6(1 + 2x) = 5x + -7x (1 * 6 + 2x * 6) = 5x + -7x (6 + 12x) = 5x + -7x Combine like terms: 5x + -7x = -2x 6 + 12x = -2x Solving 6 + 12x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 6 + 12x + 2x = -2x + 2x Combine like terms: 12x + 2x = 14x 6 + 14x = -2x + 2x Combine like terms: -2x + 2x = 0 6 + 14x = 0 Add '-6' to each side of the equation. 6 + -6 + 14x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 14x = 0 + -6 14x = 0 + -6 Combine like terms: 0 + -6 = -6 14x = -6 Divide each side by '14'. x = -0.4285714286 Simplifying x = -0.4285714286
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